[填空题]
On 1st of January 2021, Fiona decides to take out a bf3 bgmhn4i15 br 4gi:rank lxig1x3ldc8-s1 cc4myok ph7 * oan to purchase a new Tesla electric car. Fiona takes out a loan of P dollars with a bank that offers a nominal annual interes ycks8ph4gm 17x3d-xlc*c o i1t rate of 2.6 % , compounded monthly.
The size of Fiona's loan at the end of each year follows a geometric sequence with common ratio, $\alpha$ .
1. Find the value of $\alpha$ , giving your answer to five significant figures.
The bank lets the size of Fiona's loan increase until it becomes triple the size of the original loan. Once this happens, the bank demands that Fiona pays the entire amount back to close the loan.≈
2. Find the year during which Fiona will need to pay back the loan.
